Stability and bifurcations of limit cycles by the perturbation-incremental method

H. S Y Chan; K. W. Chung; Z. Xu

doi:10.1006/jsvi.1997.1128

Stability and bifurcations of limit cycles by the perturbation-incremental method

H. S Y Chan
, K. W. Chung
, Z. Xu

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

18 Citations (Scopus)

Abstract

The perturbation-incremental method is applied to the study of stability bifurcations of limit cycles and homoclinic (heteroclinic) bifurcations of strongly non-linear oscillators. The bifurcation parameters can be determined to any desired degree of accuracy. © 1997 Academic Press Limited.

Original language	English
Pages (from-to)	589-604
Journal	Journal of Sound and Vibration
Volume	206
Issue number	4
DOIs	https://doi.org/10.1006/jsvi.1997.1128
Publication status	Published - 2 Oct 1997

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title = "Stability and bifurcations of limit cycles by the perturbation-incremental method",

abstract = "The perturbation-incremental method is applied to the study of stability bifurcations of limit cycles and homoclinic (heteroclinic) bifurcations of strongly non-linear oscillators. The bifurcation parameters can be determined to any desired degree of accuracy. {\textcopyright} 1997 Academic Press Limited.",

author = "Chan, \{H. S Y\} and Chung, \{K. W.\} and Z. Xu",

year = "1997",

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doi = "10.1006/jsvi.1997.1128",

language = "English",

volume = "206",

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journal = "Journal of Sound and Vibration",

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T1 - Stability and bifurcations of limit cycles by the perturbation-incremental method

AU - Chan, H. S Y

AU - Chung, K. W.

AU - Xu, Z.

PY - 1997/10/2

Y1 - 1997/10/2

N2 - The perturbation-incremental method is applied to the study of stability bifurcations of limit cycles and homoclinic (heteroclinic) bifurcations of strongly non-linear oscillators. The bifurcation parameters can be determined to any desired degree of accuracy. © 1997 Academic Press Limited.

AB - The perturbation-incremental method is applied to the study of stability bifurcations of limit cycles and homoclinic (heteroclinic) bifurcations of strongly non-linear oscillators. The bifurcation parameters can be determined to any desired degree of accuracy. © 1997 Academic Press Limited.

UR - https://www.scopus.com/pages/publications/0031549518

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0031549518&origin=recordpage

U2 - 10.1006/jsvi.1997.1128

DO - 10.1006/jsvi.1997.1128

M3 - RGC 21 - Publication in refereed journal

SN - 0022-460X

VL - 206

SP - 589

EP - 604

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 4

ER -

Stability and bifurcations of limit cycles by the perturbation-incremental method

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